Numerical performance of discontinuous and stabilized continuous Galerkin methods or convection-diffusion problems
Sunday 27th November 2011
Antonietti, P.F.; Quarteroni, A.
We compare the performance of two classes of numerical methods for the approximation of linear steady-state convection-diffusion equations, namely, the discontinuous Galerkin (DG) method and the continuous streamline upwind Petrov-Galerkin (SUPG) method. We present a fair comparison of such schemes considering both diffusion--dominated and convection-dominated regimes, and present numerical results obtained on a series of test problems including smooth solutions, and test cases with sharp internal and boundary layers.